Consi der a normal subgroup H of order 4 of the dihedral group Dy= (a, b :a* = b*: (ab)* = 1). Then prove the following statemeni. %3D i) The normal izer of H in Dy is whole of Dy. ie ND, - Dy

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This question is of group theory
Consi der a nomal subgroupHof order 4 of the dihedral group
Dy= (a, b :a' = b*: (ab)* = 1). Then prove the following statemenī.
%3D
%3D
i) The normalizer of H in Dy is whole of Dy. ie ND, = D.
Transcribed Image Text:Consi der a nomal subgroupHof order 4 of the dihedral group Dy= (a, b :a' = b*: (ab)* = 1). Then prove the following statemenī. %3D %3D i) The normalizer of H in Dy is whole of Dy. ie ND, = D.
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